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Finding the Fourth Proportional to 314,834.28, 472,076.28 and 127,627.08

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Solution

The fourth proportional to 314,834.28, 472,076.28 and 127,627.08 is: 191,369.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,834.28 : 472,076.28 = 127,627.08 : x
  2. Step 2: Convert to fraction form
    314,834.28/472,076.28 = 127,627.08/x
  3. Step 3: Cross multiply
    314,834.28x = 472,076.28 × 127,627.08
  4. Step 4: Simplify right side
    314,834.28x = 60,249,717,153.66
  5. Step 5: Solve for x
    x = 60,249,717,153.66/314,834.28
  6. Step 6: Final answer
    x = 191,369.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.